Question

Evaluate the logarithm.

Answer 1

36 = 6^2

Answer 2

1/6^2 = 6^ (-2)

Answer 3

\[\dfrac{1}{36} = 6^{-2}\]HINT

Answer 4

\(log_6\dfrac{1}{36}=x\)
convert into exponential form
\(6^x=\dfrac{1}{36}\)
\(6^x=6^{-1}\)

Answer 5

6^-2*

Answer 6

Now compare powers since bases are same.